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47663204040 = 23325292157429
BaseRepresentation
bin101100011000111100…
…101100011011001000
311120000201201122012100
4230120330230123020
51240103240012130
633521323513400
73305065356354
oct543074543310
9146021648170
1047663204040
11192396aa721
1292a2388860
1346578b351a
142442244464
15138e655c60
hexb18f2c6c8

47663204040 has 144 divisors (see below), whose sum is σ = 160432190100. Its totient is φ = 12271827456.

The previous prime is 47663204023. The next prime is 47663204047. The reversal of 47663204040 is 4040236674.

It can be written as a sum of positive squares in 6 ways, for example, as 31377871044 + 16285332996 = 177138^2 + 127614^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47663203986 and 47663204004.

It is not an unprimeable number, because it can be changed into a prime (47663204047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224046 + ... + 381474.

Almost surely, 247663204040 is an apocalyptic number.

47663204040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47663204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80216095050).

47663204040 is an abundant number, since it is smaller than the sum of its proper divisors (112768986060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47663204040 is a wasteful number, since it uses less digits than its factorization.

47663204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157504 (or 157468 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 47663204040 in words is "forty-seven billion, six hundred sixty-three million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 841 870 1044 1160 1305 1682 1740 2088 2523 2610 3364 3480 4205 5046 5220 6728 7569 8410 10092 10440 12615 15138 16820 20184 25230 30276 33640 37845 50460 60552 75690 100920 151380 157429 302760 314858 472287 629716 787145 944574 1259432 1416861 1574290 1889148 2361435 2833722 3148580 3778296 4565441 4722870 5667444 6297160 7084305 9130882 9445740 11334888 13696323 14168610 18261764 18891480 22827205 27392646 28337220 36523528 41088969 45654410 54785292 56674440 68481615 82177938 91308820 109570584 132397789 136963230 164355876 182617640 205444845 264795578 273926460 328711752 397193367 410889690 529591156 547852920 661988945 794386734 821779380 1059182312 1191580101 1323977890 1588773468 1643558760 1985966835 2383160202 2647955780 3177546936 3971933670 4766320404 5295911560 5957900505 7943867340 9532640808 11915801010 15887734680 23831602020 47663204040